Changes between Version 4 and Version 5 of u/erica/PoissonSolver


Ignore:
Timestamp:
08/19/13 12:31:10 (11 years ago)
Author:
Erica Kaminski
Comment:

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  • u/erica/PoissonSolver

    v4 v5  
    77[[latex($u_t = (\kappa u_x)_x + (\kappa u_y)_y + \psi$)]]
    88
    9 when both the 1) boundary conditions and 2) the source (or forcing term) [[latex($\psi$)]] is time-independent. Under these conditions, the time-dependent terms vanish, and we are led to the elliptic equation (here in 2D),
     9when both the 1) boundary conditions and 2) the source (or forcing term) [[latex($\psi$)]] is time-independent. Under these conditions, the time-dependent terms vanish as the system relaxes to steady state (in the limit t [[latex($\rightarrow \infty$)]]), and we are led to the elliptic equation (here in 2D),
    1010
    1111[[latex($(\kappa u_x)_x + (\kappa u_y)_y = f $)]]